{"id":13784,"date":"2017-02-07T12:56:11","date_gmt":"2017-02-07T12:56:11","guid":{"rendered":"http:\/\/sitepourvtc.com\/?page_id=13784"},"modified":"2022-10-21T07:05:51","modified_gmt":"2022-10-21T07:05:51","slug":"six-factor-formula-effective-multiplication-factor","status":"publish","type":"page","link":"https:\/\/sitepourvtc.com\/nuclear-power\/reactor-physics\/nuclear-fission-chain-reaction\/six-factor-formula-effective-multiplication-factor\/","title":{"rendered":"Six-Factor Formula – Effective Multiplication Factor"},"content":{"rendered":"
keff<\/sub> = k\u221e<\/sub> . Pf<\/sub> . Pt<\/sub><\/strong> = = \u03b7.\u03b5.p.f .\u00a0Pf<\/sub> . Pt<\/sub><\/strong><\/p>\n<\/div><\/div>\n In this section, the effective\u00a0multiplication factor<\/strong>, which describes all the possible events in the life of a neutron and effectively describes the state of a finite multiplying system, will be defined.<\/p>\n The necessary condition for a stable, self-sustained fission chain reaction<\/a><\/strong> in a multiplying system (in a nuclear reactor<\/a>) is that exactly every\u00a0fission <\/a>initiates another fission<\/strong>. The minimum condition is for each nucleus undergoing fission to produce, on average, at least one neutron that causes fission of another nucleus. Also, the number of fissions occurring per unit time (the reaction rate<\/a>) within the system must be constant.<\/p>\n This condition can be expressed conveniently in terms of the multiplication factor<\/strong>. The effective\u00a0multiplication factor is the ratio of the neutrons produced by fission<\/strong> in one neutron generation<\/a> to the number of neutrons lost through absorption<\/strong> in the preceding neutron generation. This can be expressed mathematically, as shown below.<\/p>\n <\/a><\/p>\n The effective\u00a0multiplication factor<\/strong> in a multiplying system measures the change in the fission neutron population<\/a> from one neutron generation to the subsequent\u00a0generation.<\/p>\n\n
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